34 - Chern–Simons and Self-Duality in Odd Dimensions, Its Duality to Topologically Massive Theory and Dualities in General

Summary

We describe vector theories in 2+1 dimensions, Maxwell, Proca, with topological mass terms, and finally the “self-dual” action. We generalize the “self-duality” to odd dimensions. We show the duality of the self-dual action to the one with topological mass term, through the intermediary of a master action. We generalize the proof to odd dimensions. We then describe the basic 1+1 dimensional example of duality, the “T-duality”, and finish with comments on CS fields in higher odd dimensions.